Dynamic Characteristics of Laminated Structural Members

层压结构构件，如板和壳，在结构应用中得到越来越多的应用。尤其是当重量很轻的时候。对于此类受动力作用的结构的设计，弄清结构的振动特性是至关重要的。在本研究中，基于Yang， Norris, and Stavsky（YNS）理论，研究了具有一对对边简支的反对称角层合板和交叉层合板的自由振动。本研究的主要结论如下：(1)提出了一种基于配点法的层合板自由振动分析的有效计算方法。与其它数值解的比较表明，该方法得到了很好的结果。此外，应变能分布的分析可以帮助更好地理解板的振动特性。(2)横向剪切变形对基频的影响，在剩余边夹紧的情况下更为明显。(3)弯曲与伸展耦合对基频的影响相当大。(4)初始应力对层合板基频的影响大于相同尺寸的均匀各向同性板。

Laminated structural members, such as plates and shells, are being increasingly used in structural applications. especially when light weight is essential. For the design of such structures subject to dynamic forces, it is of fundamental importance to clarify the vibration characteristics of the structures. In this study, the free vibrations of antisymmetric angle-ply and cross-ply laminated plates, having one pair of opposite edges simply supported, are investigated on the basis of the Yang, Norris, and Stavsky(YNS) theory. The principal conclusions of this study are summarized as follows :(1) An efficient computational procedure, based on the collocation method, has been proposed for the analysis of free vibration of laminated plates. The comparisons with other numerical solutions show that the method yields very good results. In addition, an analysis of the strain energy distributions can be used as an aid for the better understanding of the Vibration characteristics of the plates.(2) The effect of transverse shear deformation on the fundamental frequency is more pronounced for the plates with the remaining edges clamped.(3) The effect of coupling between bending and extension on the fundamental frequency is quite substantial.(4) The effect of initial stress on the fundamental frequency is greater for laminated plates than for homogeneous, isotropic plates of the same dimensions.